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Sever21 [200]
3 years ago
14

a student randomly chooses one pen from a box containing 1 black, 3 red, and 6 blue pens. what is the probability that the stude

nt chooses a blue pen
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

6/10 probability of choosing a blue pen

Step-by-step explanation:

There are 10 pens in the box and there are 6 blue pens. the probability is 6/10.

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Garden A has 9 more currant bushes than Garden B. If 3 currant bushes are transplanted from Garden B to Garden A, then Garden A
marusya05 [52]

Answer:

42

Step-by-step explanation:

Let x = the original number of bushes in garden A

Let x-9 = the original number of bushes in garden B

x-9-3=x-12 = bushes in garden B after transplanting 3

x+3 = bushes in garden A after transplanting 3

x+3=1.5(x-12)

x+3=1.5x-18

0.5x=21

x=42

There were 42 current bushes in garden A

3 0
3 years ago
Read 2 more answers
ANYONE PLEASE HELP!!
lapo4ka [179]

Answer:

A

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line.  Look at angle 8.  It is the bottom left angle in the group of 4 angles around it.  If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

4 0
1 year ago
Read 2 more answers
HELLllllllPPppppp !!!
Tasya [4]

9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

5 0
3 years ago
What is the percent difference between 3x to x
allsm [11]

Answer:

.03%

Step-by-step explanation:

6 0
2 years ago
The perimeter of a triangle is 93 ft. Side a of the triangle is twice as long as side b. Side c is 3 ft longer than side a. Find
Sunny_sXe [5.5K]

The length of side a is 36 feet and side b is 18 feet and side c is 39 feet

<em><u>Solution:</u></em>

Given that perimeter of triangle is 93 feet

The three sides of triangle are a, b, and c

<em><u>Given that Side a of the triangle is twice as long as side b</u></em>

side a = 2 times side b

a = 2b

b = \frac{a}{2}  ---- eqn 1

<em><u>Given that Side c is 3 ft longer than side a</u></em>

side c = 3 + side a

c = 3 + a ------ eqn 2

<em><u>The perimeter of triangle is given as:</u></em>

p = a + b + c

Where a, b, c are the length of sides of triangle

Substitute eqn 1 and eqn 2 in above formula

p = a + \frac{a}{2} + 3 + a

Given that perimeter = 93

93 = a + \frac{a}{2} + 3 + a\\\\93 = \frac{2a + a + 6 + 2a}{2}\\\\93 \times 2 = 2a + a + 6 + 2a\\\\186 = 5a + 6\\\\5a = 186 - 6\\\\5a = 180\\\\a = 36

Thus length of side a = 36 feet

<em><u>Length of side b :</u></em>

from eqn 1

b = \frac{36}{2} = 18

b = 18 feet

<em><u>Length of side c:</u></em>

From eqn 2,

c = 3 + 36 = 39

c = 39 feet

Thus length of side a is 36 feet and side b is 18 feet and side c is 39 feet

6 0
3 years ago
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